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18870382467328 = 28726412346857
BaseRepresentation
bin1000100101001100110100…
…11100011001100100000000
32110210222202101210012002111
410102212122130121210000
54433133020402423303
6104044533430025104
73655224445305400
oct422463234314400
973728671705074
1018870382467328
11601597aa53417
122149258aa8194
13a6b614456902
1449348d468800
1522acde159b6d
hex11299a719900

18870382467328 has 108 divisors (see below), whose sum is σ = 43885150964172. Its totient is φ = 8074686627840.

The previous prime is 18870382467319. The next prime is 18870382467397. The reversal of 18870382467328 is 82376428307881.

It can be written as a sum of positive squares in 2 ways, for example, as 16448150919424 + 2422231547904 = 4055632^2 + 1556352^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6867276 + ... + 9214132.

It is an arithmetic number, because the mean of its divisors is an integer number (406343990409).

Almost surely, 218870382467328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18870382467328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21942575482086).

18870382467328 is an abundant number, since it is smaller than the sum of its proper divisors (25014768496844).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18870382467328 is an equidigital number, since it uses as much as digits as its factorization.

18870382467328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347528 (or 2347507 counting only the distinct ones).

The product of its (nonzero) digits is 173408256, while the sum is 67.

The spelling of 18870382467328 in words is "eighteen trillion, eight hundred seventy billion, three hundred eighty-two million, four hundred sixty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 641 784 896 1282 1568 1792 2564 3136 4487 5128 6272 8974 10256 12544 17948 20512 31409 35896 41024 62818 71792 82048 125636 143584 164096 251272 287168 502544 574336 1005088 1148672 2010176 2346857 4020352 4693714 8040704 9387428 16427999 18774856 32855998 37549712 65711996 75099424 114995993 131423992 150198848 229991986 262847984 300397696 459983972 525695968 600795392 919967944 1051391936 1504335337 1839935888 2102783872 3008670674 3679871776 4205567744 6017341348 7359743552 10530347359 12034682696 14719487104 21060694718 24069365392 29438974208 42121389436 48138730784 73712431513 84242778872 96277461568 147424863026 168485557744 192554923136 294849726052 336971115488 385109846272 589699452104 673942230976 1179398904208 1347884461952 2358797808416 2695768923904 4717595616832 9435191233664 18870382467328